Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 745, 615, 16, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 615, 16, 264 is 1
GCD(745, 615, 16, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 615, 16, 264 is 1
GCD(745, 615, 16, 264) = 1
Given Input numbers are 745, 615, 16, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 745, 615, 16, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 615, 16, 264 is 1.
Therefore, GCD of numbers 745, 615, 16, 264 is 1
Given Input Data is 745, 615, 16, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(745, 615) = 91635
GCD(745, 615) = ( 745 x 615 ) / 91635
GCD(745, 615) = 458175 / 91635
GCD(745, 615) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 16) = 80
GCD(5, 16) = ( 5 x 16 ) / 80
GCD(5, 16) = 80 / 80
GCD(5, 16) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 745, 615, 16, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 615, 16, 264?
GCD of 745, 615, 16, 264 is 1
2. Where do I get the detailed procedure to find GCD of 745, 615, 16, 264?
You can find a detailed procedure to find GCD of 745, 615, 16, 264 on our page.
3. How to find GCD of 745, 615, 16, 264 on a calculator?
You can find the GCD of 745, 615, 16, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.